解方程|x-1|=-2x-1

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解方程|x-1|=-2x-1解方程|x-1|=-2x-1解方程|x-1|=-2x-1x-1=-2x-1或x-1=2x+1x=0或x=-22x+2或-2x-2X-1≥0得出x则1-x=-2x-1得x=-

解方程|x-1|=-2x-1
解方程|x-1|=-2x-1

解方程|x-1|=-2x-1
x-1=-2x-1或x-1=2x+1
x=0或x=-2

2x+2或-2x

-2X-1≥0 得出x<-1/2
则 1-x=-2x-1
得 x=-2

case 1: x=1
|x-1|=-2x-1
LS=0
RS=-3
LS≠RS
rejected case 1
case 2: x>1
|x-1|=-2x-1
x-1 =-2x-1
x=0
rejected case 2
case 3: x<1
|x-1|=-2x-1
-(x-1) = -2x-1
x=-2
|x-1|=-2x-1
x=-2